A linear order and OWA operator for discrete gradual real numbers

DOI

10.2991/ifsa-eusflat-15.2015.39How to use a DOI?

Keywords

OWA operator, ordered weighted averaging operator, gradual number, linear order, total order, gradual interval, fuzzy interval.

Abstract

In this paper we introduce a class of linear orders for discrete gradual real numbers. Based on the linear orders we propose an OWA operator on the set of discrete gradual numbers and discuss some its properties. This is a first step of our intentions to introduce a class of linear orders, and consequently also OWA operator, for the set of discrete gradual intervals. Because the set of all fuzzy intervals is included in the set of all gradual intervals, proposed linear orders and OWA operators would be applicable in the settings of fuzzy intervals too.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zdenko Taká
PY  - 2015/06
DA  - 2015/06
TI  - A linear order and OWA operator for discrete gradual real numbers
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 260
EP  - 266
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.39
DO  - 10.2991/ifsa-eusflat-15.2015.39
ID  - Taká2015/06
ER  -